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Lie quasi-states Abstract:


Speaker: Leonid Polterovich, Tel Aviv University, U Chicago and MSRI
Location: 2112 MSB
Start time: Tue, Feb 2 2010, 4:10PM

A real-valued function on a Lie algebra is called a quasi-state if it is linear on all abelian subalgebras. We address the question of uniqueness of quasi-states on the symplectic Lie algebra. We discuss links to foundations of quantum mechanics (the Gleason theorem) as well as to the group-theoretic notion of a quasi-morphism. Joint work with Michael Entov.